Compatible SPI ADCs?

I have a machine I am retrofitting with a Duet Ethernet board. The machine has K-Type Thermocouples which go through a AD597A. The AD device outputs the temperature reading of the thermocouple as a voltage. (-1.4volts @ -200 degC to 12.428 volts at 1250 degC).

I was originally planning on swapping in new TC boards using the MAX31856 chips, but I want to keep all the electronics as stock as possible, and instead install an interface board between the electronics and the Duet.

It looks like I'm going to need a SPI ADC, with a decent resolution (12 or 13-bit) over the suitable range from 0-5V (0 degC to 500 degC). Are there any ADC's off the shelf that are out of box compatible with the Duet that I can install on one of the numerous available channels using M305?

It seems like all I will need to do is specify offset, gain and voltage difference and then assign that to one of the channels, but I'm not 100% sure if there is a specific way to do it already that isn't documented?